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Match The Years (Posted on 2006-01-22) Difficulty: 2 of 5
The days of the week (d.o.w) which are Sunday, Monday, Tuesday,Wednesday,Thursday,Friday and Saturday (in that order) are respectively denoted by the numbers 0,1,2,3,4,5 and 6 . Any given year commencing with a particular d.o.w is assigned that value corresponding to that d.o.w. For example, the value ‘0’ would be assigned to a year commencing with a Sunday.

# A year is defined as ‘Matched’ if the remainder obtained, when the year is divided by 7, corresponds precisely with the value assigned to that particular year. For example, 2003 A.D. is NOT A Matched year since 2003 leaves a remainder of 1 upon division by 7 but January 1,2003 occurred on a Wednesday which is denoted by 3.

Determine the total number of ‘Matched’ years between 1960 A.D. and 2560 A.D.(both years inclusive) in accordance with the Western (Gregorian) Calendar System.

See The Solution Submitted by K Sengupta    
Rating: 2.7500 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: A solutionCharlie2006-01-24 09:42:48
A solutionDej Mar2006-01-23 18:50:57
re(3): Analytical solutionRichard2006-01-23 15:35:15
re(2): Analytical solutionTristan2006-01-23 15:08:53
Solutionre: Analytic solution with computer verificationCharlie2006-01-23 08:24:42
Another Computer Program SolutionRichard2006-01-22 19:28:32
re: 1776Charlie2006-01-22 17:54:49
Solutionre: Analytical solution -- the x-valuesCharlie2006-01-22 17:13:36
SolutionAnalytic solution with computer verificationCharlie2006-01-22 16:28:11
re: Analytical solutionRichard2006-01-22 16:08:07
SolutionAnalytical solutionTristan2006-01-22 15:43:38
Some Thoughts1776Justin2006-01-22 11:57:55
Some ThoughtsWhy not 1960 to 2571 or 1987 to 2599?Justin2006-01-22 11:34:09
solutionJustin2006-01-22 11:25:40
re: computer solution achieved (not posted here)HarryHotspur2006-01-22 11:20:58
computer solution achieved (not posted here)Justin2006-01-22 10:58:33
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